Author(s)

Karl Hess¹, Hans De Raedt², Kristel Michielsen^3*

¹Center for Advanced Study, University of Illinois, Urbana, IL, USA.
²Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands.
³Institute for Advanced Simulation, Jülich Supercomputing Centre, Forschungszentrum Jülich, Germany RWTH Aachen University, Aachen, Germany.

We present a detailed analysis of the set theoretical proof of Wigner for Bell type inequalities with the following result. Wigner introduced a crucial assumption that is not related to Einstein’s local realism, but instead, without justification, to the existence of certain joint probability measures for possible and actual measurement outcomes of Einstein-Podolsky-Rosen (EPR) experiments. His conclusions about Einstein’s local realism are, therefore, not applicable to EPR experiments and the contradiction of the experimental outcomes to Wigner’s results has no bearing on the validity of Einstein’s local realism.

Bell Inequality, Local Realism, Nonlocality

Hess, K. , De Raedt, H. and Michielsen, K. (2017) Analysis of Wigner’s Set Theoretical Proof for Bell-Type Inequalities. Journal of Modern Physics, 8, 57-67. doi: 10.4236/jmp.2017.81005.